Abstract. In this paper, we investigate the nonlinear reaction-diffusion (NRD) model. The Fisher equation, Burgers-Fisher equation and FitzHugh-Nagumo equation are simplest examples of NRD model. A variation of -expansion method is proposed to seek exact travelling wave solutions of nonlinear partial differential equations, and it is applied to construct a new exact travelling wave solutions for simplest examples of (NRD) model.